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Finding the Fourth Proportional to 4,218.48, 5,821.07 and 2,449.74

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Solution

The fourth proportional to 4,218.48, 5,821.07 and 2,449.74 is: 3,380.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,218.48 : 5,821.07 = 2,449.74 : x
  2. Step 2: Convert to fraction form
    4,218.48/5,821.07 = 2,449.74/x
  3. Step 3: Cross multiply
    4,218.48x = 5,821.07 × 2,449.74
  4. Step 4: Simplify right side
    4,218.48x = 14,260,117.60
  5. Step 5: Solve for x
    x = 14,260,117.60/4,218.48
  6. Step 6: Final answer
    x = 3,380.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.